6611416473600 has 1344 divisors, whose sum is σ = 25487098632000. Its totient is φ = 1698905456640.

The previous prime is 6611416473553. The next prime is 6611416473661. The reversal of 6611416473600 is 63746141166.

6611416473600 is a `hidden beast` number, since 6 + 6 + 114 + 1 + 6 + 473 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12989030146 + ... + 12989030654.

Almost surely, 2^{6611416473600} is an apocalyptic number.

6611416473600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6611416473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743549316000).

6611416473600 is an abundant number, since it is smaller than the sum of its proper divisors (18875682158400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6611416473600 is an frugal number, since it uses more digits than its factorization.

6611416473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 6611416473600 in words is "six trillion, six hundred eleven billion, four hundred sixteen million, four hundred seventy-three thousand, six hundred".